(b) The energy stored in water of a dam is the kinetic energy.
Answer
The energy stored in water of a dam is the potential energy.
(c) The energy of a flying kite is kinetic energy.
(d) Work done by a boy depends on the time in which he does work.
(e) Power spent by a body depends on the time for which it does work.
2. Fill in the blanks
(b) Work done = Force × ____
(c) The energy of a body is its capacity to do ____
(d) The S.I. unit of energy is ____
(e) The potential energy of a body is due to its _____ and kinetic energy of body is due to its _____
(f) Gravitational potential energy U = mass × force of gravity on unit mass × ____
(g) Kinetic energy = 1/2 × mass × ____
(h) Power P = _____/time taken.
(i) The S.I. unit of power is ____
(j) I H.P. = ____
(b) Work done = Force × distance moved in direction of force.
(c) The energy of a body is its capacity to do work.
(d) The S.I. unit of energy is joule.
(e) The potential energy of a body is due to its state of rest or position and kinetic energy of body is due to its state of motion.
(f) Gravitational potential energy U = mass × force of gravity on unit mass × height.
(g) Kinetic energy = 1/2 × mass × (speed)^{2}
(h) Power P = work done/time taken.
(i) The S.I. unit of power is watt
(j) I H.P. = 746 W
3. Match the following
Column A |
Column B |
(a) A stone at a height |
(i) power |
(b) A moving hall |
(ii) joule |
(c) Energy |
(iii) work done in 1s |
(d) Power |
(iv) potential energy |
(e) watt |
(v) kinetic energy |
Answer
Column A |
Column B |
(a) A stone at a height |
(iv) potential energy |
(b) A moving hall |
(v) kinetic energy |
(c) Energy |
(ii) joule |
(d) Power |
(iii) work done in 1s |
(e) watt |
(i) power |
4. Select the correct alternative
(a) The S.I. unit of work is
1. second
2. metre
3. joule
4. newton
Answer
3. joule
(b) No work is done by a force if the body
1. moves in direction of force
2. does not move
3. moves in opposite direction
4. none of the these
Answer
2. does not move
(c) Two coolies A and B do some work in time 1 minute and 2 minute respectively. The power spent is
1. same by both coolies
2. is more by coolie A than by B
3. is less by coolie A than by B
4. nothing can be said.
(d) The expression of power P is
1. P = mgh
2. P = P = 1/2 Mv^{2}
3. P = F × d
4. P = F × d/t
Answer
4. P = F × d/t
(e) I H.P. is equal to
1. 1 W
2. 1 J
3. 746 J
4. 746 W
Answer
3. 746 W
(f) When a boy doubles his speed, his kinetic energy becomes
1. half
2. double
3. four times
4. no change
Answer
3. four times
(g) A boy lifts a luggage from height 2 m to 4 m. The potential energy will become
1. half
2. double
3. one-third
4. one-fourth
Answer
2. double
B. Short/Long Answer Questions
1. Define work.
Answer
When a force is applied on a body and there is displacement of the body, work is said to be done.
2. When does a force perform work?
Answer
Work is said to be done only when the force applied on a body makes the body move (i.e. there is a displacement of the body).
3. State two conditions when no work is done by a force.
Answer
Two conditions are :
(i) There should be no displacement i.e. S = 0
(ii) The displacement is normal to the direction of force i.e. –Î¸ = 90°
4. In which of the following cases is work being done :
(a) A boy pushing a rock
(b) A boy climbing up the stairs
(c) A coolie standing with a box in his head
(d) A girl moving on the road.
Answer
(b) A boy climbing up the stairs
(d) A girl moving on the road.
5. A coolie is moving on a road with a luggage on his head. Does he perform work against the force of gravity? Give reason for your answer.
Answer
A coolie carrying a luggage on his head moving on ground does i no work against the force of gravity as displacement is normal to the direction of force of gravity.
6. The moon is revolving around the earth in a circular path. How much work is done by the moon ?
Answer
No work is done, since displacement is normal to the direction of force on the body. The force is centripetal.
7. Write the expression for work done by a force.
Answer
Work done by applying force F is the product of force applied on the body and distance moved by the body in the direction of force , work done = Force × distance moved in the direction of force.
W = F × d
8. State the S.I. unit of work and define it.
Answer
S.I. unit of work is Joule
Joule is that much work done when a force of 1 N displaces the body through a distance of m in the direction of force.
9. State two factors on which the work done on a body depends.
Answer
Two factors are:
- Magnitude of force applied (F).
- Distance moved by the body in the direction of force (d) or (s)
10. Define the term energy.
Answer
Capacity of doing work is called energy.
11. State the S.I. unit of energy.
Answer
S.I unit of energy is Joule (J).
12. Define 1 joule of energy.
Answer
Joule is the capacity of a body to work of 1 J irrespective of time taken.
13. How is work related to energy ?
Answer
Relationship between Work and Energy:
Energy is the capacity of doing work
Every form of energy is work. i.e. work done on body is stored in the form of energy. Energy is spent when a body does work.
Thus, to do more amount of work-more energy is needed.
14. What are the two kinds of mechanical energy ?
Answer
Two kinds of mechanical energy:
- The Potential energy (P.E.)
- The Kinetic energy (K.E.)
15. What is potential energy? State its unit.
Answer
Potential Energy (P.E. or U): The energy possessed by a body due its position above the ground or change in state.
Unit of P.E. = S.I. unit of energy = Joule (J)
16. Give one example of a body that has potential energy, in each of the following :
(a) due to its position at a height,
(b) due to its elongated stretched state.
Answer
(a) P.E. due to its position at a height: Water at a height has P.E. stored in it. Falling water from a height can be used to do work like turning a wheel,
(b) P.E. due to its elongated stretched state: A stretched rubber band (elongated state) has potential energy. It does work in restoring itself to its original state. A pebble placed on the stretched rubber catapult is thrown away when it is released to restore its original state.
17. State two factors on which the potential energy of a body at a certain height above the ground depends.
Answer
Potential energy = mgh
∴ P.E. = m × h × g'
g' is constant depends upon m and h
Two factors on which P.E. depends :
- Mass: greater the mass, greater is P.E.
- Height above the ground: Higher the height of body, greater is the P.E.
18. Two bodies A and B of masses 10 kg and 20 kg respectively are at the same height above the ground. Which of the two has greater potential energy?
Answer
As g is constant and h is same in both the cases
PE_{2} is greater than PE.
Hence, Potential energy of body B (more mass) is greater than the P.E. of body A.
Or
As height of body A and is same and ‘g’ is constant, the body with greater mass i.e. body B has greater potential energy.
19. A bucket full of water is on the first floor of your house and another identical bucket with same quantity of water is kept on the second floor. Which of the two has greater potential energy?
Answer
As ‘g’ is constant in both cases and quantity of water (m) is same in both cases potential energy depends on height. Since height of second bucket kept at second floor is greater. Hence, second bucket at second floor has greater P.E.
20. Write the expression for the gravitational potential energy explaining the meaning of the symbols used.
Answer
Expression for gravitational Potential Energy:
P.E. = U = mgh
where,
U is gravitational potential energy m is the mass of body.
g is force of gravity on mass of 1 kg
mg is the force acting on body
h is the distance or height moved above the ground level.
21. A body of mass m is moved from ground to a height h. If force of gravity on mass of 1 kg is g newton, find :
(a) the force needed to lift the body,
(b) the work done in lifting the body and
(c) the potential energy stored in the body.
Answer
(a) When a body of mass m at A on ground is raised above ground through height h at B force is applied. This force applied = weight of body
Force on mass m = F = m g
Where ‘g’ is the force of gravity on a mass of 1 kg.
(b) Work done in lifting the body = Force × displacement, W = mg × h
(c) This work done W is stored in body in the form of Potential energy i.e. P.E. = mgh
22. Define the term kinetic energy. Give one example of a body which possesses kinetic energy.
Answer
The energy possessed by a body by virtue of its motion is called Kinetic Energy.
Example: A bullet moving at high speed through has small mass, possesses kinetic energy and can penetrate the body.
Or
When a stretched bow is released the potential energy of arrow changes into kinetic energy and makes the arrow to move.
23. State two factors on which the kinetic energy of a moving body depends.
Answer
The energy possessed by a body by virtue of its motion is defined as kinetic energy.
The factors on which it depends are:
- mass of the body.
- velocity of the body.
24. Two toy-cars A and B of masses 200 g and 500 g respectively are moving with the same speed. Which of the two has greater kinetic energy ?
Answer
∴ K.E. of car B is greater.
Or
Since speed of both cars is same
∴ The speed of car having greater mass (i.e. of car B), the K.E. is greater
∴ Kinetic energy of car B having greater mass is greater.
25. A cyclist double his speed. How will his kinetic energy change: increase, decrease or remain same?
Answer
As Kinetic energy K.E. = 1/2 mv^{2}
Since speed is doubled, its square will become 4 times
∴ K.E. increases i.e. becomes 4 times.
Or
K.E. = mv^{2}When speed is doubled, New speed v_{1} = 2v
26. Write the expression for the kinetic energy of a body explaining the meaning of the symbols used.
Answer
Kinetic energy =1/2 mv^{2}
Where, m is the mass of body v is the speed of body.
27. A ball of mass m is moving with a speed v. What is its kinetic energy ?
Answer
Kinetic energy of a ball of mass m and moving with speed v is K.E. = 1/2 mv^{2}
28. Name the form of energy stored in a wound up spring of a watch.
Answer
It possesses Potential energy.
29. Can a body possess energy even when it is not in motion ? Explain your answer with an example.
Answer
Yes, a body not in motion can possess energy.
Example: Water stored in dam through not in motion possess potential energy.
Or
A stone at rest on the top of a building possesses P.E.
30. Name the type of energy (kinetic or potential) possessed by the following:
(a) A moving cricket ball.
(b) A stone at rest on the top of a building.
(c) A compressed spring.
(d) A moving bus.
(e) A bullet fired from a gun.
(f) Water flowing in a river.
(g) A stretched rubber band.
Answer
(a) A moving ball due to motion possesses kinetic energy.
(b) A stone at rest on the top of a building possesses Potential Energy,
∴ Due to height above ground.
(c) A compressed spring possesses potential energy due to changed position of spring.
(d) A moving bus possesses kinetic energy due to motion.
(e) A bullet fired from a gun possesses kinetic energy due to motion.
(f) Water flowing in a river possesses kinetic energy due to its motion.
(g) A stretched rubber band possesses potential energy due to changed position.
31. Give an example to show the conversion of potential energy to kinetic energy when put in use.
Answer
A stretched bow has the potential energy because of its stretched position. When the stretched bow is released the potential energy of the bow changes into its kinetic energy.
32. State the energy changes that occur in a watch spring while it unwinds.
Answer
A wound up watch spring has P.E. stored in it due to it wound up state.
A the spring unwinds itself, the potential energy changes into kinetic energy with which it moves the arms of the watch.
33. Give reasons for the following:
(a) No work is done ¡fa man ¡s pushing against a wall.
(b) Hammer drives a nail into the wood only when it is lifted up and then struck.
(c) A horse and a dog are running with the same speed. Which one of them has more kinetic energy than the other.
(d) A teacher moving around in the class is doing work but a child standing and reading a book is not doing any work.
Answer
(a) As wall does not move from its place i.e. distance moved is zero. Hence, no work is done.
(b) On lifting the Hammer, its potential energy is stored in the hammer on striking the nail with hammer this energy is used in driving the nail into the wood.
(c) A horse has more mass than dog. As both are running with the same speed.
M_{1} of horse is greater than M_{2} of dog
∴ K.E. of horse is more than K.E. of dog
(d) A child reading a book while standing is not moving from its place i.e. displacement is zero. Hence product of force and displacement is zero
W = F × S
W = mg × 0 = 0
Hence, child is not doing any work. Whereas teacher is moving from its place is doing work.
34. State the energy changes in the following while ¡n use.
(a) An electric bulb
(b) An electric oven
(c) A loud speaker
(d) A microphone
(e) An electric motor
Answer
(a) An electric bulb — Electrical to light energy
(b) An electric oven — Electrical to heat energy
(c) A loud speaker — Electrical to sound energy
(d) A microphone — Electrical to sound energy
(e) An electric motor — Mechanical to electrical energy
C. Numericals
1. A force of 30 N acts on a body and moves it through a distance of 5 m is the direction of force. Calculate the work done by the force.
Answer
F = 30 N
d = 5m
Work done, W = F × d
W = 30 × 5= 150 J
2. A man lifts a mass of 20 kg to a height of 2.5 m. Assuming that the force of gravity on 1 kg mass is 10 N, find the work done by the man.
Answer
Mass = 20 kg
h = 2.5 m
Force of gravity on a mass of 1 kg = 10 N
Force of gravity on a mass of 20kg
F = mg = 20 × 10 = 200 N
Work done in lifting the mass to height h = 20 m is
W = F × h
= 200 N × 2.5 m
= 200 × 25/10 =500 J
3. A body when acted upon by a force of 10 kgf moves to a distance 0.5 m in the direction of force. Find the work done by the force. Take 1 kgf = 10 N.
Answer
F= 10 kgf = 10× 10N = 100 N,
Displacement, S = 0.5 m
Work done when displacement is in the direction of force
W = F × S
W= 100 × 0.5 = 50 J
4. Two bodies of same masses are placed at heights h and 2h. Compare their gravitational potential energy.
Answer
Gravitational pot. energy of A/Gravitational pot. energy of B
mgh/mg 2h = 1/2 = 1 : 2
5. Find the gravitational potential energy of 2.5 kg mass kept at a height of 15 m above the ground. The force of gravity on mass 1 kg is 10 n.
Answer
Mass m = 2.5 kg
Gravitational potential energy is the work done against force of gravity ¡s stored in the
body at a height h.
P.E = U = mgh
U = 2.5 × 10 × 15
U = 25/10 × 10 × 15 = 375 J
6. The gravitational potential energy stored in a box of weight 150 kgf is 1.5 x 104 J. Find the height of the box. Take 1 kgf = 10 N.
Answer
Gravitational potential energy U = mg × h
1.5 × 10^{4} J = (150 kgf) × h
⇒ 1.5 × 10^{4} J=(150 × 10 N) × h
7. The potential energy of a body of mass 0.5 kg increases by 100 J when it is taken to the top of a tower from ground. If force of gravity on 1 kg is 10 N, what is the height of the tower ?
Answer
K.E. = Force × height
Potential energy = (m g) h
100 J = (0.5 × 10) N × h
Answer
m = 60 kg
Speed, v = 50 m/s
K.E = 1/2 mv^{2}
1/2 × 60 × 50 × 50 = 75000
K.E = 75/10 × 1000 × 10 = 7.5 × 10^{4} J
9. A truck of mass 1000 kg, increases its speed from 36 km/h to 72 km/h. Find the increase is its kinetic energy.
Answer
Weight of truck = Force = 1000 kgf
10. A car is moving with a speed of 15 km h^{-1} and another identical car is moving with a speed of 30 km h^{-1}. Compare their kinetic energy.
Answer
Two identical cars means, they have equal mass
K.E = 1/2 mv^{2}
Let m be the mass of each car
K.E. of car B is 4 times K.E. of car A.
11.A pump raises water by spending 4 × 10^{5} J of energy in 10 s. Find the power of pump.
Answer
Energy spent = w = 4 × 10^{5} J Time
taken = 10 s
Power = Energy/Time